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DOUBLE ENLARGEMENTS OF TOPOLOGICAL SPACES

โœ Scribed by Paul Goodyear

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
249 KB
Volume
30
Category
Article
ISSN
0044-3050

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๐Ÿ“œ SIMILAR VOLUMES

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Let X denote a compact &spemd space with characteristic (~,n). .ks is we&known, the space I?(cY) consisting of the ordinals not excse&ng Q &h the htefvaf top(&)gy has ch;arwteristiz r&n) if and only if &a, < cy < (? l (n f-1). It seems natural to regard the xdir : spaces as "minimal"' dispersed spac

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D โŠ† D is a normal totality on a Scott domain D if it is upward closed and x y โˆˆ D is an equivalence relation on D . We prove that every topological space can be represented by a domain with normal totality.

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โœ A. Arai; I. Mitoma ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 433 KB

Two types of fundamental spaces of differential forms on infinite dimensional topological vector spaces are considered; one is a fundamental space of Hida's type and the other is one of Malliavin's. It is proven that the former space is smaller than the latter. Moreover, it is shown that, under some